GCD of 480, 313, 162, 991 Calculator

Given Input numbers are 480, 313, 162, 991

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

Greatest Common Divisior

We found the divisors of 480, 313, 162, 991 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 313, 162, 991 is 1.

Therefore, GCD of numbers 480, 313, 162, 991 is 1

Given Input Data is 480, 313, 162, 991

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 313 is 313

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 991 is 991

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(480, 313) = 150240

GCD(480, 313) = ( 480 x 313 ) / 150240

GCD(480, 313) = 150240 / 150240

GCD(480, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 991

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

GCD(1, 991) = 991 / 991

GCD(1, 991) = 1

GCD of 480, 313, 162, 991 is 1

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1. What is the GCD of 480, 313, 162, 991?

GCD of 480, 313, 162, 991 is 1

2. Where do I get the detailed procedure to find GCD of 480, 313, 162, 991?

You can find a detailed procedure to find GCD of 480, 313, 162, 991 on our page.

3. How to find GCD of 480, 313, 162, 991 on a calculator?

You can find the GCD of 480, 313, 162, 991 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.